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Simplifying 34 + 3k = -2(k + -2) Reorder the terms: 34 + 3k = -2(-2 + k) 34 + 3k = (-2 * -2 + k * -2) 34 + 3k = (4 + -2k) Solving 34 + 3k = 4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 34 + 3k + 2k = 4 + -2k + 2k Combine like terms: 3k + 2k = 5k 34 + 5k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 34 + 5k = 4 + 0 34 + 5k = 4 Add '-34' to each side of the equation. 34 + -34 + 5k = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 5k = 4 + -34 5k = 4 + -34 Combine like terms: 4 + -34 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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